Author | Cuntz, Joachim. author |
---|---|
Title | Cyclic Homology in Non-Commutative Geometry [electronic resource] / by Joachim Cuntz, Georges Skandalis, Boris Tsygan |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-662-06444-3 |
Descript | XIII, 137 p. online resource |
I. Cyclic Theory, Bivariant K-Theory and the Bivariant Chern-Connes Character by J. Cuntz: 1. Cyclic Theory; 2. Cyclic Theory for Locally Convex Algebras; 3. Bivariant K-Theory; 4. Infinite-Dimensional Cyclic Theories; A. Locally Convex Algebras; B. Standard Extensions -- II. Noncommutative Geometry, the Transverse Signature Operator, and Hopf Algebras (after A. Connes and H. Moscovici) by G. Skandalis: 1. Preliminaries; 2. The Local Index Formula; 3. The Diff-Invariant Signature Operator; 4. The 'Transverse' Hopf Algebra -- III. Cyclic Homology by B. Tsygan: 1. Introduction; 2. Hochschild and Cyclic Homology of Algebras; 3. The Cyclic Complex Ĉ{lambda}_{bullet}; 4. Non-Commutative Differential Calculus; 5. Cyclic Objects; 6. Examples; 7. Index Theorems; 8. Riemann-Roch Theorem for D-Modules